Question

What is the simplified form of the cube root of x squared times the third root of x squared

Answer 1

Answer:

$x\sqrt[3]{x}$

Step-by-step explanation:

$\sqrt[3]{x^2} *\sqrt[3]{x^2}$

Both terms have same cube root so we multiply the terms and put it inside the cube root

Apply exponential property

$a^m * a^n = a^{m+n}$

$x^2* x^2 = x^4$

$\sqrt[3]{x^2} *\sqrt[3]{x^2}=\sqrt[3]{x^4}$

$\sqrt[3]{x^4}=\sqrt[3]{x^3*x^1}=x\sqrt[3]{x}$

Answer 2

Cubert (x^2) * cubert(x^2)=
Since they're both cube roots you can multiply the radicands.
Cube root (x^4)=
x cube root x